Checkout reporistory with the right token (#54557)

Summary:
Pull Request resolved: https://github.com/facebook/react-native/pull/54557

When running a release, we are observing failures due to the Meta CLA check failings for commits pushed by our own CI.

The secrets are inherited by the jobs, but we observed that the repository is not checked out with the right token.

This change should fix that.

## Changelog:
[Internal] -

Reviewed By: cortinico

Differential Revision: D87218058

fbshipit-source-id: 8955719ab26e568215f64841fd8d9526c4837f8f